If A= {x:x is an even number},B={x:x is a odd number}, C= {x:x is a prime n umber}, D= {x:x is a multiple of 3} Find A-B,B-A,A∪B,A∩B?
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A = set of even integer numbers.
B = set of odd integers.
C = prime number set
D = integers which are multiples of 3.
A - B = A - A Π B = A
as A and B are disjoint sets. A Π B = null set φ
B - A = B as same reason as above.
A U B = I or Z = set of all integers , as an integer is either even or odd.
A U B = {x : X is an even integer or an odd integer }
= { x : x is an integer }
A Π B = {x : x is an odd integer and an even integer }
= φ null set.
B = set of odd integers.
C = prime number set
D = integers which are multiples of 3.
A - B = A - A Π B = A
as A and B are disjoint sets. A Π B = null set φ
B - A = B as same reason as above.
A U B = I or Z = set of all integers , as an integer is either even or odd.
A U B = {x : X is an even integer or an odd integer }
= { x : x is an integer }
A Π B = {x : x is an odd integer and an even integer }
= φ null set.
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